A Least-Squares Scheme Utilizing Fast Propagating Shock Waves for Early Kick Estimation in Drilling
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A scheme for fast kick estimation in managed pressure drilling is presented. The reservoir pressure and production index are estimated by utilizing information in a fast traveling shock wave induced by an unexpected rise in reservoir pressure. A least squares estimation problem is formulated from an early-lumping approach based on a reduced order drift-flux model. The Levenberg-Marquardt scheme is applied to solve the non-linear least-squares problem. The estimation scheme is tested with simulated top-side flow measurements from a two-phase drift flux model.